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An example of compact K\'ahler manifold with nonnegative quadratic bisectional curvature

Authors :
Li, Qun
Wu, Damin
Zheng, Fangyang
Publication Year :
2011

Abstract

We construct a compact K\"ahler manifold of nonnegative quadratic bisectional curvature, which does not admit any K\"ahler metric of nonnegative orthogonal bisectional curvature. The manifold is a 7-dimensional K\"ahler C-space with second Betti number equal to 1, and its canonical metric is a K\"ahler-Einstein metric of positive scalar curvature<br />Comment: 11 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1110.1749
Document Type :
Working Paper